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12922656 = 253227593
BaseRepresentation
bin110001010010…
…111100100000
3220022112112220
4301102330200
511302011111
61140551040
7214561245
oct61227440
926275486
1012922656
117326a8a
1243b2480
1328a5c56
141a055cc
151203e06
hexc52f20

12922656 has 48 divisors (see below), whose sum is σ = 34128864. Its totient is φ = 4281344.

The previous prime is 12922633. The next prime is 12922681. The reversal of 12922656 is 65622921.

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21496 + ... + 22088.

It is an arithmetic number, because the mean of its divisors is an integer number (711018).

Almost surely, 212922656 is an apocalyptic number.

12922656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12922656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17064432).

12922656 is an abundant number, since it is smaller than the sum of its proper divisors (21206208).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12922656 is a wasteful number, since it uses less digits than its factorization.

12922656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 833 (or 825 counting only the distinct ones).

The product of its digits is 12960, while the sum is 33.

The square root of 12922656 is about 3594.8095916196. The cubic root of 12922656 is about 234.6662290511. Note that the first 3 decimals are identical.

The spelling of 12922656 in words is "twelve million, nine hundred twenty-two thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 227 454 593 681 908 1186 1362 1779 1816 2372 2724 3558 3632 4744 5448 7116 7264 9488 10896 14232 18976 21792 28464 56928 134611 269222 403833 538444 807666 1076888 1615332 2153776 3230664 4307552 6461328 12922656